数学对数方程
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/29 13:16:15
数学对数方程
![数学对数方程](/uploads/image/z/19012502-38-2.jpg?t=%E6%95%B0%E5%AD%A6%E5%AF%B9%E6%95%B0%E6%96%B9%E7%A8%8B)
【log3(x)】平方+log9(3x)=2
log9(3x)=log3(3x)/log3(9)=[1+log3(x)]/2
【log3(x)】平方+log9(3x)=2
【log3(x)】平方+[1+log3(x)]/2=2
2[log3(x)]^2+1+log3(x)=4
2[log3(x)]^2+log3(x)-3=0
[2log3(x)+3][log3(x)-1]=0
log3(x)=-3/2 或log3(x)=1
x=3^(-3/2)
x=1/3根号3
x=根号3/9 或 x=3
log9(3x)=log3(3x)/log3(9)=[1+log3(x)]/2
【log3(x)】平方+log9(3x)=2
【log3(x)】平方+[1+log3(x)]/2=2
2[log3(x)]^2+1+log3(x)=4
2[log3(x)]^2+log3(x)-3=0
[2log3(x)+3][log3(x)-1]=0
log3(x)=-3/2 或log3(x)=1
x=3^(-3/2)
x=1/3根号3
x=根号3/9 或 x=3